Shinji Kagawa netted on 93 minutes with virtually the last kick of the game, just moments after Wolfsburg defender Ricardo Rodriguez had converted a penalty on the stroke of 90 minutes which cancelled out Marco Reus' first-half goal.
Keisuke Honda and Shinji Kagawa netted a goal each to give Japan a 2-0 win over Jordan.
Japan star Shinji Kagawa was hit in the jaw during their 1-0 win over Jamaica. He started feeling dizzy after the game and was taken to hospital for tests.
The 2013 Champions League runners-up Dortmund lost Marco Reus to an injury but Shinji Kagawa's return will bolster the side once again.
With Marco Reus, Nuri Sahin and Jakub Blaszczykowski among those already out, captain Mats Hummels struggling for fitness and Ciro Immobile a minor doubt, the last thing coach Jurgen Klopp needed was the news that Shinji Kagawa had to withdraw from training on Thursday with a groin problem.
Shinji Kagawa spent the first two games of the season at Old Trafford keeping the bench warm as new manager Louis van Gaal left him out of the starting line-up.
Shinji Kagawa, an instant hit for United after being signed by Alex Ferguson from German Bundesliga side Borussia Dortmund in 2012, found himself largely frozen out last season under the troubled reign of David Moyes.
Despite Manchester United claiming a 3-0 victory at Aston Villa, Moyes was unhappy with the number of tackles made on the Belgian-born youngster.
Foreign-born players can be inducted to national teams on grounds of residency but Wilshere feels it is rather unfair as it does not happen in other countries.
Teenage starlet Adnan Januzaj scored twice as Manchester United came from behind to win 2-1 at Sunderland
Kagawa, who has admitted he faces a fight to make it at Old Trafford after an unpromising start under David Moyes, can expect to get valuable playing time in the away friendlies.
United have long been renowned for their dashing wing play, but the club's wide players have gone off the boil over the past year. Antonio Valencia no longer bursts past left-backs with the explosive pace he exhibited in his first two seasons at the club, while Ashley Young was lambasted for a careless display at City and Nani remains a model o...
The former Borussia Dortmund midfielder made only his second start of the season in Wednesday's League Cup tie against Liverpool, which Manchester United won 1-0 through a 46th-minute goal from Javier Hernandez.
The 24-year-old was an instant hit at Old Trafford after being signed by Alex Ferguson in June last year, but he has cut a forlorn figure this season, left out of the squad altogether for United's 1-0 defeat at Liverpool before the international break.
Japan's playmaker, left out of the English champions' first three Premier League games this season, cut in from the left to unleash a fierce shot into the bottom corner five minutes into the second half, cancelling out Frank Acheampong's opener for a weakened Ghana side in Yokohama.
The Japanese midfielder has not played in any of Manchester United's three league games this season and was linked with a move to Borussia Dortmund and Atletico Madrid.
Danny Welbeck, Chris Smalling, Fabio Da Silva and substitute Adnan Januzaj put United 4-0 up after 49 minutes, but they took their foot off the pedal and plucky Kitchee gave the scoreline some respectability with two fine goals on a humid but dry night.
David Moyes brought on Wilfried Zaha -- the only United new face on the Asian Tour -- after 58 minutes to replace Shinji Kagawa, after the Japanese star fluffed a penalty kick but hit Manchester United's first goal against Cerezo.